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242121113 = 13413171433
BaseRepresentation
bin11100110111001…
…11100110011001
3121212121000201122
432123213212121
5443440333423
640005255025
75666665313
oct1633474631
9555530648
10242121113
111147421a3
1269104475
133b214440
14242287b3
15163c98c8
hexe6e7999

242121113 has 16 divisors (see below), whose sum is σ = 268135056. Its totient is φ = 217205760.

The previous prime is 242121097. The next prime is 242121127. The reversal of 242121113 is 311121242.

It can be written as a sum of positive squares in 8 ways, for example, as 70694464 + 171426649 = 8408^2 + 13093^2 .

It is a cyclic number.

It is not a de Polignac number, because 242121113 - 24 = 242121097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242121091 and 242121100.

It is not an unprimeable number, because it can be changed into a prime (242121133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168245 + ... + 169677.

It is an arithmetic number, because the mean of its divisors is an integer number (16758441).

Almost surely, 2242121113 is an apocalyptic number.

It is an amenable number.

242121113 is a deficient number, since it is larger than the sum of its proper divisors (26013943).

242121113 is a wasteful number, since it uses less digits than its factorization.

242121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804.

The product of its digits is 96, while the sum is 17.

The square root of 242121113 is about 15560.2414184356. The cubic root of 242121113 is about 623.2719094218.

Adding to 242121113 its reverse (311121242), we get a palindrome (553242355).

The spelling of 242121113 in words is "two hundred forty-two million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 13 41 317 533 1433 4121 12997 18629 58753 168961 454261 763789 5905393 18624701 242121113